Question

What must be added to x -3x² - 12x + 19 so that the result is
exactly divisible by x² + x-6?
O a. x+5
b. 2x-5
ООО
c. 2x+5
d. 5​

Answer 1

Answer:

The answer is c.2x+5.

Step-by-step explanation:

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Answer 2

Answer:

Hey buddy here is your answer:-

Step-by-step explanation:

Let px = x3 - 3x2 -12x +19 and qx = x2 + x -6.By division algorithm when px is divided by qx the remainder is a linear expression in xSo let rx = ax +b is added to px so that px + rx is divisible by qx.Hence  x3 - 3x2 -12x +19 is divisible by x2 + x -6 when 2x+5 is added to it.

Hence the right answer is option c) 2x + 5

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